The CHSP approach can be perceived as
equivalent to
the standard quantum mechanics, being distinguished just by the
conversion of the conventional SP Hamiltonian \(\mathfrak {h}\,\)  into its
less standard
isospectral representation \(H\) 
defined as acting
in \({\cal H}_{math}\)  and
amenable to necessary Hermitization.
Nevertheless, the
CHSP
formalism
has only recently been converted,
via decisive simplifications,
into
one of the most influential and popular
versions of SP,
widely known as
\({\cal PT}-\) symmetric quantum mechanics (PTQM, [1]}).
